Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475bb |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-5605130100053515625 = -1 · 58 · 112 · 179 |
Discriminant |
Eigenvalues |
1 -3 5- -3 11- 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,327383,88102666] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:7278:1] |
Generators of the group modulo torsion |
j |
411564375/594473 |
j-invariant |
L |
3.1283583578896 |
L(r)(E,1)/r! |
Ω |
0.1629687972761 |
Real period |
R |
1.5996714368356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79475n1 4675m1 |
Quadratic twists by: 5 17 |